TSTP Solution File: SEV028^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV028^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 15:58:01 EDT 2024
% Result : Theorem 7.06s 2.50s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 12 equ; 0 cnn)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 146 ( 2 ~; 0 |; 30 &; 90 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 60 ( 0 ^ 45 !; 15 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cQ_type,type,
cQ: a > a > $o ).
thf(1,conjecture,
( ( ! [A: a > $o] :
( ( ? [B: a] : ( A @ B )
& ! [B: a] :
( ( A @ B )
=> ! [C: a] :
( ( A @ C )
= ( cQ @ B @ C ) ) ) )
=> ? [B: a] : ( A @ B ) )
& ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A )
& ! [C: a > $o] :
( ( ? [D: a] : ( C @ D )
& ! [D: a] :
( ( C @ D )
=> ! [E: a] :
( ( C @ E )
= ( cQ @ D @ E ) ) )
& ( C @ A ) )
=> ( C = B ) ) ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM558_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a > $o] :
( ( ? [B: a] : ( A @ B )
& ! [B: a] :
( ( A @ B )
=> ! [C: a] :
( ( A @ C )
= ( cQ @ B @ C ) ) ) )
=> ? [B: a] : ( A @ B ) )
& ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A )
& ! [C: a > $o] :
( ( ? [D: a] : ( C @ D )
& ! [D: a] :
( ( C @ D )
=> ! [E: a] :
( ( C @ E )
= ( cQ @ D @ E ) ) )
& ( C @ A ) )
=> ( C = B ) ) ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a > $o] :
( ( ? [B: a] : ( A @ B )
& ! [B: a] :
( ( A @ B )
=> ! [C: a] :
( ( A @ C )
= ( cQ @ B @ C ) ) ) )
=> ? [B: a] : ( A @ B ) )
& ! [A: a] :
? [B: a > $o] :
( ? [C: a] : ( B @ C )
& ! [C: a] :
( ( B @ C )
=> ! [D: a] :
( ( B @ D )
= ( cQ @ C @ D ) ) )
& ( B @ A )
& ! [C: a > $o] :
( ( ? [D: a] : ( C @ D )
& ! [D: a] :
( ( C @ D )
=> ! [E: a] :
( ( C @ E )
= ( cQ @ D @ E ) ) )
& ( C @ A ) )
=> ( C = B ) ) ) )
=> ( ! [A: a] : ( cQ @ A @ A )
& ! [A: a,B: a] :
( ( cQ @ A @ B )
=> ( cQ @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cQ @ A @ B )
& ( cQ @ B @ C ) )
=> ( cQ @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(769,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV028^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:45:25 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.97 % [INFO] Parsing done (106ms).
% 1.19/0.98 % [INFO] Running in sequential loop mode.
% 1.68/1.19 % [INFO] eprover registered as external prover.
% 1.68/1.20 % [INFO] Scanning for conjecture ...
% 1.83/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.29 % [INFO] Type checking passed.
% 1.83/1.29 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.53/2.50 % External prover 'e' found a proof!
% 6.53/2.50 % [INFO] Killing All external provers ...
% 6.53/2.50 % Time passed: 1969ms (effective reasoning time: 1514ms)
% 6.53/2.50 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.53/2.50 % Axioms used in derivation (0):
% 6.53/2.50 % No. of inferences in proof: 4
% 7.06/2.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1969 ms resp. 1514 ms w/o parsing
% 7.06/2.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.06/2.52 % [INFO] Killing All external provers ...
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